http://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic2014-04-16T09:17:19.000ZCalderon-Zygmund AnalysisCalderon-Zygmund AnalysisGoogle Calendar59125http://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/0dv2ccm7d4pq3ht3he1f3cecmg_20140414T204500Z2014-03-23T22:01:14.000Z2014-04-07T16:38:26.000ZJenn-Nan Wang(National Taiwan University)Landis' conjecture and related questions (Calderon Zygmund Analysis Seminar)When: Mon Apr 14, 2014 3:45pm to 4:45pm
CDT<br>Replaces event originally scheduled for: Mon Apr 14, 2014 3:45pm<br>
<br>Who: Calderon-Zygmund Analysis
<br>Event Status: confirmedWhen: Mon Apr 14, 2014 3:45pm to 4:45pm
CDT<br />Replaces event originally scheduled for: Mon Apr 14, 2014 3:45pm<br />
<br />Who: Calderon-Zygmund Analysis
<br />Event Status: confirmed
<br />Event Description: In the late 60's, E.M. Landis conjectured that if \Delta u+Vu=0 in R^n with \|V\|_{L^{\infty}(R^n)}\leq 1 and \|u\|_{L^{\infty}(\R^n)}\leq C_0 satisfying |u(x)|\leq C\exp(-C|x|^{1+}), then u= 0. Landis' conjecture was disproved by Meshkov who constructed such V and nontrivial u satisfying |u(x)|\leq C\exp(-C|x|^{\frac 43}). He also showed that if |u(x)|\le C\exp(-C|x|^{4/3+}), then u= 0. A quantitative form of Meshkov's result was derived by Bourgain and Kenig in their resolution of Anderson localization for the Bernoulli model in higher dimensions. It should be noted that both $V$ and $u$ constructed by Meshkov are complex-valued functions. It remains an open question whether Landis' conjecture is true for real-valued V and u. In this talk I would like to discuss a recent joint work with C. Kenig and L. Silvestre on Landis' conjecture in two dimensions.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/0dv2ccm7d4pq3ht3he1f3cecmg_20140421T204500Z2014-03-23T22:01:14.000Z2014-04-04T19:26:45.000ZFrank Merle: Construction of supercritical nonlinear Schrodinger type II blow-up solutions(Calderon Zygmund Analysis Seminar)When: Mon Apr 21, 2014 3:45pm to 4:45pm
CDT<br>Replaces event originally scheduled for: Mon Apr 21, 2014 3:45pm<br>
<br>Who: Calderon-Zygmund Analysis
<br>Event Status: confirmedWhen: Mon Apr 21, 2014 3:45pm to 4:45pm
CDT<br />Replaces event originally scheduled for: Mon Apr 21, 2014 3:45pm<br />
<br />Who: Calderon-Zygmund Analysis
<br />Event Status: confirmeddragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/6b2pfe69drh6pj1sjso6cuaep42014-03-23T22:00:07.000Z2014-04-02T22:10:55.000ZNguyen Nguyen (Uchicago): The regularity and Dirichlet problems for linear elliptic operators in bounded Lipschitz domains (Calderon Zygmund Analysis Seminar)When: Mon Apr 7, 2014 3:45pm to 4:45pm
CDT<br>
<br>Who: Calderon-Zygmund Analysis
<br>Event Status: confirmedWhen: Mon Apr 7, 2014 3:45pm to 4:45pm
CDT<br />
<br />Who: Calderon-Zygmund Analysis
<br />Event Status: confirmed
<br />Event Description: We consider the following problems:
1. The regularity and Dirichlet problems for linear elliptic equations whose coefficients are real, bounded measurable, and close, in Carleson norm, to a continuous one. We show that both problems with $L^2$ and $L_1^2$ data, respectively, are solvable without the symmetry assumption on the coefficients.
2. We obtain similar results for systems of equations when the coefficients are assumed to satisfy two additional properties: 1) Holder continuity, and 2) pseudo-symmetry.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/0dv2ccm7d4pq3ht3he1f3cecmg2014-03-23T22:01:14.000Z2014-03-23T22:02:15.000Z(Calderon Zygmund Analysis Seminar)Recurring Event<br>
First start: 2014-04-14 15:45:00 CDT
<br>
Duration: 3600
<br>Who: Calderon-Zygmund Analysis
<br>Event Status: confirmedRecurring Event<br />
First start: 2014-04-14 15:45:00 CDT
<br />
Duration: 3600
<br />Who: Calderon-Zygmund Analysis
<br />Event Status: confirmeddragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/o85d6gmfnqmrv353qdi46rp16o_20140303T214500Z2013-12-31T05:30:56.000Z2014-02-23T19:34:51.000ZMax Engelstein(Uchicago): A Two-sided Free Boundary Problem for Harmonic Measure (Calderon-Zygmund Analysis Seminar)When: Mon Mar 3, 2014 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Mar 3, 2014 3:45pm<br>
<br>Event Status: confirmedWhen: Mon Mar 3, 2014 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Mar 3, 2014 3:45pm<br />
<br />Event Status: confirmed
<br />Event Description: We prove initial and higher regularity for a two-sided free boundary problem first considered by Kenig and Toro (Crelle's Journal, 2006). There is no *a priori* assumption on the regularity of the free boundary or non-degeneracy built into the free boundary condition.
Therefore, the biggest obstacle to establishing regularity is the possibility of degeneracy. The key ingredient in the proof is a monotonicity formula due to Monneau.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/o85d6gmfnqmrv353qdi46rp16o_20140210T214500Z2013-12-31T05:30:56.000Z2014-02-09T18:54:35.000ZNobu Kishimoto(Kyoto University): Unconditional uniqueness for certain periodic nonlinear dispersive equations (Calderon-Zygmund Analysis Seminar)When: Mon Feb 10, 2014 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Feb 10, 2014 3:45pm<br>
<br>Event Status: confirmedWhen: Mon Feb 10, 2014 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Feb 10, 2014 3:45pm<br />
<br />Event Status: confirmed
<br />Event Description: We consider the Cauchy problem for certain nonlinear dispersive equations on the torus (i.e. with the periodic boundary condition) with initial data given in Sobolev spaces $H^s$.
Unconditional uniqueness means that the solution to the Cauchy problem is unique in the space $C_t(H^s)$, and we say the problem is unconditionally well-posed if it is well-posed and unconditional uniqueness holds. Unconditional uniqueness becomes a non-trivial property, typically in low regularities, when the well-posedness is obtained by a contraction argument using not only the $C_t(H^s)$ norm but also some auxiliary norms, such as the Strichartz norms, local smoothing norms, and Bourgain's $X^{s,b}$ norms.
Our proof of unconditional uniqueness is based on successive time-averaging arguments (integration by parts with respect to time variable). This approach was taken by Babin, Ilyin, and Titi (2011) for the periodic Korteweg-de Vries (KdV) equation. They showed that, despite the presence of a derivative in the nonlinearity of the original equation, the derivative loss is recovered and an a priori estimate is derived using only the $C_t(H^s)$ norm for $s>1/2$ after the first integration by parts, which is then improved to $s\ge 0$ if an integration by parts is applied once more. This kind of argument has been applied to other equations such as the modified KdV equation and higher-order KdV-type equations.
Recently, Guo, Kwon, and Oh (2013) obtained an unconditional uniqueness result for one-dimensional cubic nonlinear Sch\"odinger (NLS) equation by applying integration by parts \emph{infinitely many times}.
In this talk we prove the unconditional uniqueness for general NLS equations in higher dimensions and of higher (odd) degree nonlinearities, one-dimensional cubic derivative NLS, and the (modified) Benjamin-Ono equations by this method.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/o85d6gmfnqmrv353qdi46rp16o_20140203T214500Z2013-12-31T05:30:56.000Z2014-02-02T05:02:40.000ZSvitlana Mayboroda(UMN): Localization of eigenfunctions and associated free boundary problems (Calderon-Zygmund Analysis Seminar)When: Mon Feb 3, 2014 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Feb 3, 2014 3:45pm<br>
<br>Event Status: confirmedWhen: Mon Feb 3, 2014 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Feb 3, 2014 3:45pm<br />
<br />Event Status: confirmed
<br />Event Description: The phenomenon of wave localization permeates acoustics, quantum physics, elasticity, energy engineering. It was used in construction of the noise abatement walls, LEDs, optical devices. Anderson localization of quantum states of electrons has become one of the prominent subjects in quantum physics, as well as harmonic analysis and probability. Yet, no methods predict specific spatial location of the localized waves.
In this talk I will present recent results revealing a universal mechanism of spatial localization of the eigenfunctions of an elliptic operator on a bounded domain. We prove that for any operator on any domain there exists a ``landscape" which splits the domain into disjoint subregions and indicates location, shapes, and frequencies of the localized eigenmodes. In particular, the landscape connects localization to a certain multi-phase free boundary problem, regularity of minimizers, and geometry of emerging free boundaries.
This is joint work with D. Arnold, G. David, M. Filoche, and D. Jerison.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/o85d6gmfnqmrv353qdi46rp16o_20140127T214500Z2013-12-31T05:30:56.000Z2014-01-13T20:20:23.000ZDavid Dos Santos Ferreira (Université de Lorraine):The Calderón problem in transversally anisotropic geometries (Calderon-Zygmund Analysis Seminar)When: Mon Jan 27, 2014 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Jan 27, 2014 3:45pm<br>
<br>Event Status: confirmedWhen: Mon Jan 27, 2014 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Jan 27, 2014 3:45pm<br />
<br />Event Status: confirmed
<br />Event Description: This work is concerned with the recovery of a conformal factor in a compact Riemannian manifold with boundary of dimension greater than 3 from the corresponding Dirichlet-to-Neumann map in certain geometries.
The general inverse problem of determining a metric (modulo isometries which are the identity on the boundary) is known as the anisotropic Calderón problem and is open for smooth metrics. In this talk, I will speak about the case where the metric has a warped product structure. I will show how the construction of complex geometric solutions concentrated along non-closed geodesics transversal to the boundary allow to determine
the geodesic ray transform of the conformal factor, thus extending an earlier work of Kenig, Salo, Uhlmann and myself. This construction can also be used to obtain log-log stability estimates in the isotropic inverse problem with partial data.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/u496ia7pnvpo5musgcgldtbdhs2014-01-13T20:19:31.000Z2014-01-13T20:19:31.000ZCarlos Perez (University of Seville) : Singular Integral operators, commutators and weights: some recent progress (Calderon-Zygmund Analysis Seminar)When: Mon Mar 31, 2014 3:45pm to 4:45pm
CDT<br>
<br>Event Status: confirmedWhen: Mon Mar 31, 2014 3:45pm to 4:45pm
CDT<br />
<br />Event Status: confirmed
<br />Event Description: It is well known that the basic operators from Harmonic Analysis are bounded on weighted Lp spaces when the weight satisfies the Ap condition. There is a lot of interest in understanding the behavior of the operator norm in terms of the Ap constant of the weight.
In this expository lecture we plan to describe some recent progress on these and related questions for Singular Integral operators like Calder\'on-Zygmund operators and their commutators with BMO functions.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/o85d6gmfnqmrv353qdi46rp16o_20140113T214500Z2013-12-31T05:30:56.000Z2014-01-09T21:34:25.000ZJason Murphy (UCLA): Scattering for inter-critical NLS (Calderon-Zygmund Analysis Seminar)When: Mon Jan 13, 2014 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Jan 13, 2014 3:45pm<br>
<br>Event Status: confirmedWhen: Mon Jan 13, 2014 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Jan 13, 2014 3:45pm<br />
<br />Event Status: confirmed
<br />Event Description: We consider a class of defocusing power-type nonlinear Schr\"odinger equations for which the power of the nonlinearity lies between the mass- and energy-critical exponents. Following a concentration compactness approach, we show that any solution that remains bounded in the critical Sobolev space must be global and scatter. Key ingredients in the proof include a long-time Strichartz estimate and a frequency-localized interaction Morawetz inequality.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/o85d6gmfnqmrv353qdi46rp16o_20140224T214500Z2013-12-31T05:30:56.000Z2014-01-09T21:33:38.000ZGunther Uhlmann (UW): Seeing Through Space Time (Calderon-Zygmund Analysis Seminar)When: Mon Feb 24, 2014 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Feb 24, 2014 3:45pm<br>
<br>Event Status: confirmedWhen: Mon Feb 24, 2014 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Feb 24, 2014 3:45pm<br />
<br />Event Status: confirmed
<br />Event Description: We consider inverse problems for the Einstein equation with a time-depending metric on a 4-dimensional globally hyperbolic Lorentzian manifold. We formulate the concept of active measurements for relativistic models. We do this by coupling Einstein equations with
equations for scalar fields.
The inverse problem we study is the question, do the observations of the solutions of the coupled system in an open subset U of the space-time with the sources supported in U determine the properties of the metric in a larger domain. To study this problem we define the concept of light observation sets and show that these sets determine the conformal class of the metric. This corresponds to passive observations from a distant area of space which is filled by light sources.
This is joint work with Y. Kurylev and M. Lassasdragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/o85d6gmfnqmrv353qdi46rp16o2013-12-31T05:30:56.000Z2013-12-31T05:32:34.000Z (Calderon-Zygmund Analysis Seminar)Recurring Event<br>
First start: 2014-01-13 15:45:00 CST
<br>
Duration: 3600
<br>
Except on:
Mon Mar 10, 2014 Mon Feb 17, 2014 Mon Mar 17, 2014 Mon Jan 20, 2014
<br>Event Status: confirmedRecurring Event<br />
First start: 2014-01-13 15:45:00 CST
<br />
Duration: 3600
<br />
Except on:
Mon Mar 10, 2014 Mon Feb 17, 2014 Mon Mar 17, 2014 Mon Jan 20, 2014
<br />Event Status: confirmeddragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/jm4nbto4cktl9fgigslrl1h6f82013-10-31T22:55:16.000Z2013-11-04T18:58:56.000ZZhongwei Shen (University of Kentucky): Commutator Estimates for the Dirichlet-to-Neumann Map (Calderon-Zygmund Analysis Seminar)When: Mon Dec 9, 2013 3:45pm to 4:45pm
CST<br>
<br>Who: Calderon-Zygmund Analysis
<br>Event Status: confirmedWhen: Mon Dec 9, 2013 3:45pm to 4:45pm
CST<br />
<br />Who: Calderon-Zygmund Analysis
<br />Event Status: confirmed
<br />Event Description: In this talk I will discuss two commutator estimates for the Dirichlet-to-Neumann map associated with a second-order elliptic system in divergence form in Lipschitz domains. The approach is based on Dahlberg's bilinear estimates.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/jb1hhb84br3f8ko5jmhpjjr7no_20131125T214500Z2013-10-02T00:29:32.000Z2013-11-04T18:58:18.000ZSean Li (UChicago): Coarse differentiation of Lipschitz functions (Calderon-Zygmund Analysis Seminar)When: Mon Nov 25, 2013 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Nov 25, 2013 3:45pm<br>
<br>Who: Calderon-Zygmund Analysis
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon Nov 25, 2013 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Nov 25, 2013 3:45pm<br />
<br />Who: Calderon-Zygmund Analysis
<br />Where: Ryerson 358
<br />Event Status: confirmed
<br />Event Description: Bates, Johnson, Lindenstrauss, Preiss, and Schechtman introduced a notion of large scale differentiation for Lipschitz functions between normed linear spaces. We discuss an extension of this result in the nonabelian setting of Lipschitz maps between of Carnot groups and use it to derive quantitative nonembeddability results.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/jb1hhb84br3f8ko5jmhpjjr7no_20131111T214500Z2013-10-02T00:29:32.000Z2013-11-04T18:57:37.000ZSaleh Tanveer (OSU): Quasi-solution approach towards nonlinear problems (Calderon-Zygmund Analysis Seminar)When: Mon Nov 11, 2013 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Nov 11, 2013 3:45pm<br>
<br>Who: Calderon-Zygmund Analysis
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon Nov 11, 2013 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Nov 11, 2013 3:45pm<br />
<br />Who: Calderon-Zygmund Analysis
<br />Where: Ryerson 358
<br />Event Status: confirmed
<br />Event Description: Strongly nonlinear problems, written abstractly in the form N[u]=0, are typically difficult to analyze unless they possess special properties. However, if we are able to find a quasi-solution u_0 in the sense that the residual N[u_0] := R is small, then it is possible to analyze a strongly nonlinear problem with weakly nonlinear analysis in the following manner: We decompose u=u_0 + E; then E satisfies L E = -N_1 [E] - R, where L is the Fre'chet derivative of the operator N and N_1 [E] := N[u_0+E]-N[u_0]-L E contains all the nonlinearity. If L has a suitable inversion property and the nonlinearity N_1 is sufficiently regular in E, then weakly nonlinear analysis of the error E through contraction mapping theorem gives rise to control of the error E. What is described above is quite routine. The only new element is to determine a quasi-solution u_0, which is typically found through a combination of classic orthogonal polynomial representation and exponential asymptotics.
This method has been used in a number of nonlinear ODEs arising from reduction of PDEs. We also show how it can be extended to integro-differential equations that arise in study of deep water waves of permanent form. The method is quite general and can in principle be applied to nonlinear PDEs as well.
**Much of this is joint work with O. Costin and other collaborators.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/jb1hhb84br3f8ko5jmhpjjr7no_20131028T204500Z2013-10-02T00:29:32.000Z2013-10-22T18:26:33.000ZAlexandru Ionescu (Princeton) On the regularity of solutions of certain fluid models with moving interface (Calderon-Zygmund Analysis Seminar)When: Mon Oct 28, 2013 2:30pm to 3:30pm
CDT<br>Replaces event originally scheduled for: Mon Oct 28, 2013 3:45pm<br>
<br>Who: Calderon-Zygmund Analysis
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon Oct 28, 2013 2:30pm to 3:30pm
CDT<br />Replaces event originally scheduled for: Mon Oct 28, 2013 3:45pm<br />
<br />Who: Calderon-Zygmund Analysis
<br />Where: Ryerson 358
<br />Event Status: confirmed
<br />Event Description: I will describe two recent projects on the regularity of solutions of two models. The first project, in collaboration with F. Pusateri, is concerned with the existence of smooth global solutions of the gravity water-wave model in 2D. The second project, in collaboration with C. Fefferman and V. Lie, is concerned with the absence of "splash" singularities in the case of two-fluid interfaces.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/jb1hhb84br3f8ko5jmhpjjr7no_20131118T214500Z2013-10-02T00:29:32.000Z2013-10-13T20:21:09.000ZDavid Bate (Chicago): Structure of measures in Lipschitz differentiability spaces (Calderon-Zygmund Analysis Seminar)When: Mon Nov 18, 2013 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Nov 18, 2013 3:45pm<br>
<br>Who: Calderon-Zygmund Analysis
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon Nov 18, 2013 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Nov 18, 2013 3:45pm<br />
<br />Who: Calderon-Zygmund Analysis
<br />Where: Ryerson 358
<br />Event Status: confirmed
<br />Event Description: This talk will present recent results showing the equivalence of two very different ways of generalising Rademacher's theorem to metric measure spaces. The first was introduced by Cheeger and is based upon differentiation with respect to another, fixed, chart function. The
second approach is new for this generality and originates in some ideas of Alberti. It is based upon forming partial derivatives along a very rich structure of Lipschitz curves, analogous to the differentiability theory of Euclidean spaces. By examining this structure further, we naturally arrive to several descriptions of Lipschitz differentiability spaces.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/jb1hhb84br3f8ko5jmhpjjr7no_20131104T214500Z2013-10-02T00:29:32.000Z2013-10-13T20:20:21.000ZJenn-Nan Wang (National Taiwan University), Unique continuation for the Lame system (Calderon-Zygmund Analysis Seminar)When: Mon Nov 4, 2013 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Nov 4, 2013 3:45pm<br>
<br>Who: Calderon-Zygmund Analysis
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon Nov 4, 2013 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Nov 4, 2013 3:45pm<br />
<br />Who: Calderon-Zygmund Analysis
<br />Where: Ryerson 358
<br />Event Status: confirmed
<br />Event Description: In this talk, I would like to discuss the unique continuation and the strong unique continuation for the Lame system, namely, the isotropic elasticity. The complexity of the problem depends on the regularities of the Lame coefficients. I will talk about what I can do and what I can't do. For the case where we have the strong unique continuation, I will show an iteration scheme to get doubling inequalities from three-ball inequalities. Doubling inequalities are useful in many problems including inverse problems. If time permits, I will discuss the application of doubling inequalities to the size estimate problem.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/jb1hhb84br3f8ko5jmhpjjr7no_20131202T214500Z2013-10-02T00:29:32.000Z2013-10-13T20:19:55.000ZGunther Uhlmann (UW): Seeing Through Space Time (Calderon-Zygmund Analysis Seminar)When: Mon Dec 2, 2013 3:45pm to 4:45pm
CST<br>Replaces event originally scheduled for: Mon Dec 2, 2013 3:45pm<br>
<br>Who: Calderon-Zygmund Analysis
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon Dec 2, 2013 3:45pm to 4:45pm
CST<br />Replaces event originally scheduled for: Mon Dec 2, 2013 3:45pm<br />
<br />Who: Calderon-Zygmund Analysis
<br />Where: Ryerson 358
<br />Event Status: confirmed
<br />Event Description: We consider inverse problems for the Einstein equation with a
time-depending metric on a 4-dimensional globally hyperbolic Lorentzian
manifold. We formulate the concept of active measurements for relativistic
models. We do this by coupling Einstein equations with equations for
scalar fields.
The inverse problem we study is the question, do the observations of the
solutions of the coupled system in an open subset U of the space-time with
the sources supported in U determine the properties of the metric in a
larger domain. To study this problem we define the concept of light
observation sets and show that these sets determine the conformal class of
the metric. This corresponds to passive observations from a distant area
of space which is filled by light sources.
This is joint work with Y. Kurylev and M. Lassasdragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/jb1hhb84br3f8ko5jmhpjjr7no_20131021T204500Z2013-10-02T00:29:32.000Z2013-10-13T20:19:20.000ZSasha Reznikov (MSU): Solution to the A1 conjecture (Calderon-Zygmund Analysis Seminar)When: Mon Oct 21, 2013 3:45pm to 4:45pm
CDT<br>Replaces event originally scheduled for: Mon Oct 21, 2013 3:45pm<br>
<br>Who: Calderon-Zygmund Analysis
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon Oct 21, 2013 3:45pm to 4:45pm
CDT<br />Replaces event originally scheduled for: Mon Oct 21, 2013 3:45pm<br />
<br />Who: Calderon-Zygmund Analysis
<br />Where: Ryerson 358
<br />Event Status: confirmed
<br />Event Description: It is well known that the Hilbert Transform H is of weak (1,1) type with respect to the Lebesgue measure. If, instead of the Lebesgue measure, we consider a measure wdx, where w is a positive weight, then we get the following condition: H is of the weak type (1,1) with respect to wdx if and only if w satisfies the so-called A1 condition. The A1 conjecture proposed that the weak (1,1) norm of H can be estimated by the absolute constant times the so-called A1 characteristic of the weight w. It appears that the conjecture is false. In the talk we consider connected problems and explain the approach that disproves the A1 conjecture.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/jb1hhb84br3f8ko5jmhpjjr7no_20131014T204500Z2013-10-02T00:29:32.000Z2013-10-13T20:18:37.000ZLuis Vega: The vortex filament equation for a regular polygon (Calderon-Zygmund Analysis Seminar)When: Mon Oct 14, 2013 3:45pm to 4:45pm
CDT<br>Replaces event originally scheduled for: Mon Oct 14, 2013 3:45pm<br>
<br>Who: Calderon-Zygmund Analysis
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon Oct 14, 2013 3:45pm to 4:45pm
CDT<br />Replaces event originally scheduled for: Mon Oct 14, 2013 3:45pm<br />
<br />Who: Calderon-Zygmund Analysis
<br />Where: Ryerson 358
<br />Event Status: confirmed
<br />Event Description: I shall present some recent results obtained in collaboration with V. Banica and F. de la Hoz about the evolution of vortex filaments according to the so-called binormal law. After reviewing the results about filaments with one corner, we will look at the case of general polygons. The dynamics turn out to be quite complex. Among other things numerical evidence on the appearance of multifractals will be given.dragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/jb1hhb84br3f8ko5jmhpjjr7no2013-10-02T00:29:32.000Z2013-10-02T00:31:58.000Z(Calderon-Zygmund Analysis Seminar)Recurring Event<br>
First start: 2013-10-14 15:45:00 CDT
<br>
Duration: 3600
<br>
Except on:
Mon Dec 9, 2013
<br>Who: Calderon-Zygmund Analysis
<br>Where: Ryerson 358
<br>Event Status: confirmedRecurring Event<br />
First start: 2013-10-14 15:45:00 CDT
<br />
Duration: 3600
<br />
Except on:
Mon Dec 9, 2013
<br />Who: Calderon-Zygmund Analysis
<br />Where: Ryerson 358
<br />Event Status: confirmeddragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/oiqtsolv435o7hkck9jfnhm1tk2013-10-02T00:12:21.000Z2013-10-02T00:24:04.000ZPierre-Louis Lions: Nonlinear equations and correctors (Calderon-Zygmund Analysis Seminar)When: Mon Oct 7, 2013 3:45pm to 4:45pm
CDT<br>
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon Oct 7, 2013 3:45pm to 4:45pm
CDT<br />
<br />Where: Ryerson 358
<br />Event Status: confirmeddragondream1985@gmail.comdragondream1985@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/nm9lirdnupas9khp5alv7sccv42013-05-20T16:32:32.000Z2013-05-20T16:32:32.000ZFrancis Chung (University of Jyvaskyla): A Partial Data Neumann-Dirichlet Inverse Problem (Calderon-Zygmund Analysis Seminar)When: Mon May 20, 2013 3:45pm to 4:45pm
CDT<br>
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon May 20, 2013 3:45pm to 4:45pm
CDT<br />
<br />Where: Ryerson 358
<br />Event Status: confirmed
<br />Event Description: Abstract available at <a href="https://www.google.com/url?q=http%3A%2F%2Fmath.uchicago.edu%2F~cz%2FFChung.pdf&ust=1397646623633000&usg=AFQjCNEScQ1W4DGqMDc07Lm-VoB3QwHgRw" target="_blank">http://math.uchicago.edu/~cz/FChung.pdf</a>.mathcal60637@gmail.commathcal60637@gmail.comhttp://www.google.com/calendar/feeds/uvg9nqpa61tid15v56kcjr5408%40group.calendar.google.com/public/basic/sd8p9l3sb803a1pq2ao2hffvoo2013-05-10T05:08:38.000Z2013-05-10T05:08:38.000ZCalderon Zygmund Analysis seminar / Dider Pilod: Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applicationsWhen: Mon May 13, 2013 3:45pm to 4:45pm
CDT<br>
<br>Where: Ryerson 358
<br>Event Status: confirmedWhen: Mon May 13, 2013 3:45pm to 4:45pm
CDT<br />
<br />Where: Ryerson 358
<br />Event Status: confirmed
<br />Event Description: See abstract at http://math.uchicago.edu/~cz/DPilod.pdfclaumuno@gmail.comclaumuno@gmail.com